The number 38115
38115 is a composite number with 36 divisors. Its prime factorisation is × 5 × 7 × . Divisors (36): 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105 … 38115.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38115: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38115 is composite. Its prime factorisation is
- 3
The divisors add up to 82992; without 38115 itself that is 44877, so 38115 is abundant (44877 is more than 38115). Euler's totient φ(38115) = 15840 numbers up to 38115 share no factor with it.
- 4
The digits of 38115 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38115 = 3^{2} \times 5 \times 7 \times 11^{2} \]38115 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 82992 |
| Euler totient φ(n) | 15840 |
| Square | 1452753225 |
| Cube | 55371689170875 |
| Square root | 195.230633 (= 33√35) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8115 × |
38115 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and fifteen |
| Binary (base 2) | 1001010011100011 |
| Octal (base 8) | 112343 |
| Hexadecimal (base 16) | 94E3 |
| Base 3 | 1221021200 |
| As time | 38115 seconds = 10 h 35 min 15 s |
Is 38115 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38115 ÷ 3 = 12705) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38115 ÷ 5 = 7623) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38115 ÷ 7 = 5445) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38115 ÷ 9 = 4235) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38115 ÷ 11 = 3465) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38115 a prime number?
No. 38115 = × 5 × 7 × , so it is divisible by 3.
What are the factors of 38115?
1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 121, 165, 231, 315, 363, 385, 495, 605, 693, 847, 1089, 1155, 1815, 2541, 3465, 4235, 5445, 7623, 12705, 38115.
What is 38115 in binary?
1001010011100011 (hexadecimal 94E3, octal 112343).
What is the square root of 38115?
About 195.2306, exactly 33√35.
Is 38115 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38115?
38115 is a happy number: repeatedly adding the squares of its digits reaches 1.